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Preprint (Vorabdruck) zugänglich unter
URN: urn:nbn:de:bsz:291-scidok-46245

A comparison of spurious oscillations at layers diminishing (SOLD) methods for convection-diff usion equations. - Part I

John, Volker ; Knobloch, Petr

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Freie Schlagwörter (Englisch): streamline upwind/Petrov-Galerkin (SUPG) method
Institut: Fachrichtung 6.1 - Mathematik
DDC-Sachgruppe: Mathematik
Dokumentart: Preprint (Vorabdruck)
Schriftenreihe: Preprint / Fachrichtung Mathematik, Universit├Ąt des Saarlandes
Bandnummer: 156
Sprache: Englisch
Erstellungsjahr: 2005
Publikationsdatum: 29.02.2012
Kurzfassung auf Englisch: An unwelcome feature of the popular streamline upwind/Petrov-Galerkin (SUPG) stabilization of convection-dominated convection-diffusion equations is the presence of spurious oscillations at layers. Since the mid of the 1980-ies, a number of methods have been proposed to remove or, at least, to diminish these oscillations without leading to excessive smearing of the layers. The paper gives a review and state of the art of these methods, discusses their derivation, proposes some alternative choices of parameters in the methods and categorizes them. Some numerical studies give a first insight into the advantages and drawbacks of the methods.
Lizenz: Standard-Veröffentlichungsvertrag

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